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Finding the Fourth Proportional to 24,680.47, 37,024.22 and 9,096.88

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Solution

The fourth proportional to 24,680.47, 37,024.22 and 9,096.88 is: 13,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,680.47 : 37,024.22 = 9,096.88 : x
  2. Step 2: Convert to fraction form
    24,680.47/37,024.22 = 9,096.88/x
  3. Step 3: Cross multiply
    24,680.47x = 37,024.22 × 9,096.88
  4. Step 4: Simplify right side
    24,680.47x = 336,804,886.43
  5. Step 5: Solve for x
    x = 336,804,886.43/24,680.47
  6. Step 6: Final answer
    x = 13,646.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.